Abstract
We study analytically the response of a two-level quantum system to a certain class of time-dependent quasiperiodic perturbations generated by a Fibonacci sequence. We show that the quasi-energy spectrum (Fourier transform of the evolution operator) generically is not a denumerable sum of delta functions. Hence the response is not quasiperiodic. Several numerical investigations (Poincaré sections, polarization fluctuation, etc.) suggest an intermediate kind of behavior between quasiperiodic and chaotic.
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Luck, J.M., Orland, H. & Smilansky, U. On the response of a two-level quantum system to a class of time-dependent quasiperiodic perturbations. J Stat Phys 53, 551–564 (1988). https://doi.org/10.1007/BF01014213
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DOI: https://doi.org/10.1007/BF01014213